There is a bag with only red marbles and blue marbles.
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Answer:
Step-by-step explanation:
Area of outer triangle =
= 2x*4x + 2x*3
= 8x² + 6x
Area of inner triangle=
Area of aluminium = area of outer triangle - area of inner triangle
= 8x² + 6x + 2x² + 5x
= 10x² + 11x
Area of 20 aluminum borders = 20*(10x² + 11x) = 200x² + 220x
b) x = 25 cm
Area of 20 aluminum borders = 200*25² + 220*25
= 200 * 625 + 220*25
= 125000 + 5500
= 130500 cm²
c) Area of inner triangle (Glass) = 5500 cm²
Cost of aluminium = 130500 * 0.06 = $ 7830
Cost of glass = 5500 * 0.03 = $ 165
Cost of making 20 windows = 7830 + 165 = $ 7995
We can notice that : Line Passes through the Points (1 , 2) and (4 , -4)
Let us find the slope of the line in order to write the Equation of the Line.
Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :
Points are (1 , 2) and (4 , -4)
here x₁ = 1 and x₂ = 4 and y₁ = 2 and y₂ = -4
Equation of the Line passing through (1 , 2) and having slope -2 is :
⇒ y - 2 = -2(x - 1)
⇒ y = -2x + 2 + 2
⇒ y = -2x + 4